Pith Number

pith:AMD7B5ZL

pith:2013:AMD7B5ZLL6QRZYOR7W5SVST45H

not attested not anchored not stored refs pending

Energy cascade and scaling in supersonic isothermal turbulence

Alexei G. Kritsuk, Michael L. Norman, Rick Wagner

arxiv:1306.5768 v2 · 2013-06-24 · astro-ph.GA · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AMD7B5ZLL6QRZYOR7W5SVST45H}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:17:56.270417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0307f0f72b5fa11ce1d1fdbb2aca7ce9fd9110b0344f4b8e01587bb920f89b03

Aliases

arxiv: 1306.5768 · arxiv_version: 1306.5768v2 · doi: 10.48550/arxiv.1306.5768 · pith_short_12: AMD7B5ZLL6QR · pith_short_16: AMD7B5ZLL6QRZYOR · pith_short_8: AMD7B5ZL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AMD7B5ZLL6QRZYOR7W5SVST45H \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0307f0f72b5fa11ce1d1fdbb2aca7ce9fd9110b0344f4b8e01587bb920f89b03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9710bb349cab3899d8f76dec7d5750832be767fa2b902619b4508aa578544e65",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2013-06-24T20:13:00Z",
    "title_canon_sha256": "00cfeedc1ee9baa21e65e187421ba8a77b016bb1b4ae94a85be6202ab4ca149e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5768",
    "kind": "arxiv",
    "version": 2
  }
}